1111.3837 (Zhengjun Xi et al.)

Necessary and sufficient condition for saturating the upper bound of
quantum discord    [PDF]

Zhengjun Xi, Xiao-Ming Lu, Xiaoguang Wang, Yongming Li

We revisit the upper bound of quantum discord given by the von Neumann entropy of the measured subsystem. Using the Koashi-Winter relation, we obtain a trade-off between the amount of classical correlation and quantum discord in the tripartite pure states. The difference between the quantum discord and its upper bound is interpreted as a measure on the classical correlative capacity. Further, we give the explicit characterization of the quantum states saturating the upper bound of quantum discord, through the equality condition for the Araki-Lieb inequality. We also demonstrate that the saturating of the upper bound of quantum discord precludes any further correlation between the measured subsystem and the environment.

View original: http://arxiv.org/abs/1111.3837